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NEET PHYSICSEasy

A body, whose momentum is constant, must have a constant:

A

force

B

velocity

C

acceleration

D

All of these

Step-by-Step Solution

  1. Definition of Momentum: Momentum (ecp ec{p}) is defined as the product of mass (mm) and velocity (ecv ec{v}), i.e., ecp=mecv ec{p} = m ec{v} [Source 58].
  2. Analysis: If the momentum ecp ec{p} of a body is constant, and assuming the mass mm is constant, then the velocity ecv ec{v} must be constant.
  3. Newton's Laws:
  • According to Newton's Second Law, the net force is the rate of change of momentum (ecF=decpdt ec{F} = \frac{d ec{p}}{dt}) [Source 59, 70]. If ecp ec{p} is constant, decpdt=0\frac{d ec{p}}{dt} = 0, so the net force ecF=0 ec{F} = 0.
  • Since ecF=meca ec{F} = m ec{a}, if ecF=0 ec{F} = 0, then acceleration eca=0 ec{a} = 0.
  1. Conclusion: While force and acceleration are constant at zero, the property that characterizes the state of motion (and can be non-zero) is velocity. Newton's First Law states that a body with no net force acting on it moves with uniform velocity [Source 56].
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